Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1991"

TL;DR: In this paper, the COC algorithm is applied to the simultaneous optimization of the topology and geometry of trusses with many thousand potential members, and numerical results obtained are shown to be in close agreement with analytical results.

TL;DR: In this paper, shape and topology optimization of a linearly elastic structure using a modification of the homogenization method introduced by Bendsoe and Kikuchi together with various examples which may justify validity and strength of the present approach for plane structures are discussed.

TL;DR: In this article, a space-time element method is presented for solving the compressible Euler and Navier-Stokes equations, which includes the variational equation, predictor multi-corrector algorithms and boundary conditions.

TL;DR: This paper proves that using the symmetric part of the tangent matrix, the Newton iteration retains its quadratic rate of convergence, and demonstrates that it is possible to analyze structures undergoing large rotations within a general co-rotational framework, using simple and economical finite elements.

TL;DR: In this paper, the authors present concepts underlying an interactive CAD-based engineering design optimization system, and methods of optimizing the topology, shape, and sizing of mechanical components are presented.

TL;DR: An adaptive meshing method tailored to problems of strain localization is given in this article, which consists of equi-distributing the variation of the velocity field over the elements of the mesh.

TL;DR: In this article, a finite, constant width of the localisation zone and a finite energy dissipation are computed under static as well as under transient loading conditions for an elastic Cosserat continuum.

TL;DR: The goals of this paper are to carefully define a particular class of well-set incompressible Navier-Stokes problems in the continuum (partial differential equation/PDE) setting and to discuss some relevant and sometimes poorly understood issues related to these well-posed PDE problems, both in the continuity world and in its computer counterpart.

TL;DR: The nonsymmetric systems of equations arising from a Newton-type linearization of these time-marching problems are solved using an iterative strategy based on the generalized minimal residual (GMRES) algorithm.

TL;DR: It is shown by means of ‘FE simulators’ for special classes of problems that a COC optimizer could potentially handle millions of variables in cross-section optimization (or sizing), thereby not only eliminating but also reversing the present discrepancy between analysis capability and optimization capability.

TL;DR: In this article, an effective procedure for approximating convective transport in steady-state flow conditions is presented, which combines three simple discretization schemes, that is, the second-order upwind, central and first-order downwind differencing, the switch between them being controlled by a convection boundedness criterion.

TL;DR: In this paper, the analysis of the dynamic response of a homogeneous linear-elastic solid to external actions is formulated in the time domain by means of suitable integral representations of boundary displacements and of boundary tractions using time-dependent fundamental solutions.

TL;DR: In this article, the authors apply continuum damage mechanics to the prediction of the failure of structures, and demonstrate the usefulness of this so-called local approach to fracture in the case of creep and ductile damages.

TL;DR: An algorithm for the solution of the compressible Euler equations which can be implemented on such general unstructured tetrahedral grids is described, an explicit cell-vertex scheme which follows a general Taylor-Galerkin philosophy.

TL;DR: In this article, the augmented Lagrangian procedure is used to express constraints of both holonomic and non-holonomic types of a hinge joint for multibody dynamics, and a wheel capable of radial deformation, slipping, breaking and coupled lateral/torsional deformations is developed.

TL;DR: In this paper, the authors extend the eigenmode analysis and perturbation method proposed by De Borst to the study of the bifurcation and post-bifurcation response of discrete nonlocal strain softening solids.

TL;DR: In this paper, a brief overview of the geometrical concepts of nonlinear dissipative dynamics is presented, where the cell to cell mapping technique for locating basins of attraction in a computationally efficient way is outlined.

TL;DR: In this paper, the principal ideas of h-p adaptive finite element methods for fluid dynamics problems are discussed Applications include acoustics, compressible Euler and both compressible and incompressible Navier-Stokes equations Several numerical examples illustrate the presented concepts

TL;DR: In this paper, a dual-porosity model for saturated, two-phase, incompressible, immiscible flow in a naturally fractured petroleum reservoir is formulated and then approximated by a finite difference procedure.

TL;DR: In this article, the authors present three numerical techniques based on scalar potentials and on spectral expansions for linear stability analysis of thermal convection in a cylinder and apply them to the linear stability of a cylinder.

TL;DR: In this paper, the finite element modeling of fracture problems in frictional materials is investigated and displacement interpolated localization lines embedded in quadrilateral 2D elements based on mixed interpolation of tensorial components (QMITC) are used for the analyses.

TL;DR: In this article, the streamline diffusion finite element method applied to compressible flow using conservation variables is considered and some adaptive algorithms and numerical results are presented. But they do not consider how to apply this method to compressable flow.

TL;DR: In this paper, the authors deal with the computation of buckling behavior and with the prediction of delamination growth in a compressively loaded delaminated laminate and propose analytical formulae for computing the energy release rate along the delamination front.

TL;DR: In this paper, the displacement fields for the elements are represented by polynomial and analytical functions in both in-plane directions and they have been constructed so that only one element per bay or span is required to model the response.

TL;DR: The numerical solution of the Stokes problem in its stream function-vorticity formulation by a preconditioned conjugate gradient algorithm is discussed, constructed via Fourier analysis and leads to an algorithm which is naturally suited to finite element implementations.

TL;DR: In this article, a two-dimensional numerical simulation of the thermal behavior of a solid-liquid phase change material (PCM), confined in a rectangular domain, has been carried out, where a numerical coupling between the PCM enclosure and two heat exchangers forming a thermal storage device has been made.

TL;DR: In this paper, a numerical solution to the Korteweg-De Vries equation using the Bubnov-Galerkin method with quadratic spline finite elements was obtained.

TL;DR: In this article, quadrilateral velocity-pressure elements with constant and linear pressure interpolations are examined in the context of time-accurate finite element computation of unsteady incompressible flows.

TL;DR: In this article, a variational ten-order theory for stretching and bending of orthotropic elastic plates is proposed which lends itself perfectly to finite element formulations based upon C 0 and C − 1 -continuous displacement approximations.

TL;DR: The modeling of discrete engineering and biomechanical systems is presented, kinematics and kinetics are developed with sparse matrix techniques, formalisms with minimal and maximal number of coordinates are discussed and the computational efficiency of simulations is analyzed.